# Ideas in Geometry/Instructive examples

This page will serve as an index of all problems worked out as instructive examples of the concepts involved in the course Ideas in Geometry/.

List the examples here as links.

## Group Examples

[edit | edit source]Proving the Pythagorean Theorem By Picture/

Pythagorean Theorem Proof by Picture-Leonardo da Vinci Proof

Proving the Area of a Quadrilateral

Proving the Area of a Trapezoid

Proving Parallel Bisectors in Quadrilaterals

Proving Pythagorean Theorem Using Similar Angels

## Individual Examples

[edit | edit source]Finding a Midset (21 from 1.3)

9 from 2.1, Proof by Picture using Venn Diagrams

Problem#22 from Section 1.3, Drawing a Parabola

Section 2.1 Basic Set Theory number 10

Continued Fractions, Section 3.2#30

Proving Sets Equal, Section 2.1#11

If-Then Truth Tables, Section 2.2#3

Proof by Vienn Diagrams Section 2.1#5

Section 2-3#3 Tessellating Nonregular Hexagons/

Section 3.2 Problem 42 - Lattice Area, Pick's Theorem, and Probability

Section 3.2 Problem 7-Using Brahmagupta's Formula

Lesson 17- Properties of Triangles